1.  1) A car of 4 Mg is on the hill as shown. What is the tension T in the cable required to keep the car from falling down the hill?

     2) The weight is given by , and the strength of the cable follows . If W and S are independent, what is the probability of failure of the cable?

Solution

1)

Ans.

2)

We have

If the stress F is greater than strength S, the cable will fail. So we define   

Then, the probability of failure is

                Ans.